Math @ Duke

Publications [#243269] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS; Greene, BR; Morrison, DR, Measuring small distances in N = 2 sigma models,
Nuclear Physics B, vol. 420 no. 12
(1994),
pp. 184242, ISSN 05503213 [doi]
(last updated on 2018/10/16)
Abstract: We analyze global aspects of the moduli space of Kähler forms for N = (2,2) conformal σmodels. Using algebraic methods and mirror symmetry we study extensions of the mathematical notion of length (as specified by a Kähler structure) to conformal field theory and calculate the way in which lengths change as the moduli fields are varied along distinguished paths in the moduli space. We find strong evidence supporting the notion that, in the robust setting of quantum CalabiYau moduli space, string theory restricts the set of possible Kähler forms by enforcing "minimal length" scales, provided that topology change is properly taken into account. Some lengths, however, may shrink to zero. We also compare stringy geometry to classical general relativity in this context. © 1994.


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